Theorems · Definition

Equiv.addEquiv

{α : Type u_2} →
  {β : Type u_3} →
    (e : α ≃ β) →
      [inst : Add β] →
        have x := e.add;
        α ≃+ β

An equivalence e : α ≃ β gives an additive equivalence α ≃+ β where the additive structure on α is the one obtained by transporting an additive structure on β back along e.

Defined in

Mathlib.Algebra.Group.TransferInstance

Cited by

3 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Quot.sound

Assumes

Add